Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Work, Power and Energy

NEET 2013 · Physics · Work, Power and Energy

A uniform force of (3 i+j) N acts on a particle of mass 2 ~kg ....

A uniform force of (3i+j)N(3 \mathbf{i}+\mathbf{j}) \mathrm{N} acts on a particle of mass 2 kg2 \mathrm{~kg}. Hence the particle is displaced from position (2i+k)m(2 \mathbf{i}+\mathbf{k}) \mathrm{m} to position (4i+3j−k)m(4 \mathbf{i}+3 \mathbf{j}-\mathbf{k}) \mathrm{m}. The work done by the force on the particle is

Options

  1. A9 J9 \mathrm{~J}
  2. B6 J6 \mathrm{~J}
  3. C13 J13 \mathrm{~J}
  4. D15 J15 \mathrm{~J}

Correct answer

A. 9 J9 \mathrm{~J}

Step-by-step solution

Given, force F=3i+jF=3 i+j\begin{array}{l} r_1=(2 i+k) m \text{ and } r_2 =(4 i+3 j-k) m \\ \therefore s=r_2-r_1=(4 i+3 j-k)-(2 i+k) \\ =(2 i+3 j-2 k) m \\ \begin{array}{l} \therefore W=F \cdot s & =(3 i+j) \cdot(2 i+3 j-2 k) \\ & =3 \times 2+3+0 \\ & =6+3=9 \mathrm{ J} \end{array}\\ \end{array}
Practice Work, Power and Energy on Quantrex Academy →

More from Work, Power and Energy

All Work, Power and Energy questions Full Work, Power and Energy list All NEET PYQs